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Subject: Re: A very tough position for a chess engine to solve.

Author: Ed Schröder

Date: 10:40:52 12/10/00

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On December 10, 2000 at 12:52:53, Ed Schröder wrote:

>On December 10, 2000 at 10:33:49, Laurence Chen wrote:
>
>>I decided to play a game of chess against Junior 6a on my Pentium III 600e last
>>night, and I was able to get a draw.  It amazed me that the chess engine missed
>>a forced draw on move 36.  That's it, I was able to see the draw and it took the
>>engine a few minutes before it acknowledge that the position was a draw.
>>Afterwards, I decided to analyse the critical position with Gambit Tiger 1.0,
>>Chess Tiger 13.0, and Nimzo 8.  It took Gambit Tiger 1.0 and Chess Tiger 13.0
>>with 96 MB of Hash Table 16 min. to find the critical move 36. b5! which leads
>>to a forced draw.  Nimzo 8 with 128 MB of hash table took much longer, it found
>>the move in the first few seconds but it changed its mind after a 10 seconds,
>>and went back to the move after 20 min. of pondering.  Below is the pgn of the
>>game and the analysis done by the chess engines.
>>
>>[Event "Level=40'/40+40'/40+40'. "]
>>[Site "Mississauga"]
>>[Date "2000.12.09"]
>>[Round "?"]
>>[White "CHEN, LAURENCE."]
>>[Black "Junior 6.0"]
>>[Result "1/2-1/2"]
>>[ECO "B33"]
>>[PlyCount "79"]
>>[EventDate "2000.12.09"]
>>
>>{127MB, Nimzo8.ctg. Mississauga
>>} 1. e4 {0} 1... c5 {0} 2. Nf3 {4} 2... Nc6 {0} 3. d4
>>{1} 3... cxd4 {0} 4. Nxd4 {2} 4... e6 {0} 5. Nc3 {4} 5... Nf6 {0} 6. Ndb5 {4}
>>6... d6 {0} 7. Bf4 {7} 7... e5 {0} 8. Bg5 {4} 8... a6 {0} 9. Na3 {6} 9... b5 {0
>>} 10. Nd5 {5} 10... Be7 {0} 11. Bxf6 {2} 11... Bxf6 {0} 12. c3 {3} 12... O-O {0
>>} 13. Nc2 {3} 13... Rb8 {0} 14. Be2 {4} 14... Bg5 {0} 15. O-O {2} 15... a5 {0}
>>16. Qd3 {2} 16... Be6 {0} 17. Rfd1 {3} 17... Qd7 {0} 18. Qg3 {2} 18... h6 {0}
>>19. h4 {2} 19... Bd8 {0} 20. Nce3 {2} 20... Kh8 {0} 21. Rd2 {6} 21... Bb6 {0}
>>22. Nf5 {3} 22... Bxf5 {0} 23. exf5 {2} 23... f6 {0} 24. Bxb5 {4} 24... Bxf2+ {
>>0} 25. Qxf2 {3} 25... Rxb5 {0} 26. Rad1 {353} 26... a4 {0.05/16 112} 27. Ne3 {
>>90} 27... Rd8 {0.21/17 62} 28. Nc4 {40} 28... d5 {0.29/17 56} 29. Nb6 {3} 29...
>>Qb7 {0.16/17 163} 30. Nxd5 {25} 30... Qf7 {0.00/17 185} 31. Nb4 {207} 31...
>>Rxd2 {-0.11/17 81} 32. Qxd2 {3} 32... Nxb4 {-0.24/17 117} 33. cxb4 {3} 33...
>>Qxa2 {-0.26/18 193} 34. Qd8+ {3} 34... Qg8 {-0.27/18 39} 35. Qe7 {86} 35... Rb8
>>{-0.40/18 266} 36. b5 {84} 36... Qb3 {0.00/18 396} 37. Rd8+ {4} 37... Rxd8 {
>>0.00/19 114} 38. Qxd8+ {2} 38... Kh7 {0.00/21 154} 39. Qe8 {2} 39... Qc4 {
>>0.00/20 119} 40. Qg6+ {3} 1/2-1/2
>>
>>[D]1r4qk/4Q1p1/5p1p/4pP2/pP5P/8/1P4P1/3R2K1 w - - 0 36
>>
>>Analysis by Gambit Tiger 1.0:
>>
>>00:00:00.9	-0.34	7	67678		Rd7 Re8 Qc5 Qb3 Qc3 Qxc3 bxc3 Rc8
>>00:00:01.0	-0.34	8	169901		Rd7 Re8 Qc5 Qb3 Qc3 Qxc3 bxc3 Rc8 Ra7 Rxc3 Rxa4
>>00:00:03.4	-0.60	9	500577		Rd7 Re8 Qc5 Qb3 Ra7 Qxb2 Rxa4 Qb1+ Kh2 Qxf5
>>00:00:11.9	-0.60	10	1652701		Rd7 Re8 Qc5 Qb3 Ra7 Qxb2 Rxa4 Qb1+ Kh2 Qxf5 Ra7
>>00:00:20.8	-0.82	11	3051909		Rd7 Re8 Qc5 Qb3 Ra7 Qxb2 Rxa4 Qb1+ Kh2 Qxf5 b5 Rc8
>>00:00:48.5	-0.76	11	7357485		Qc7 Rc8 Qd7 Qf8 Rd6 Kh7 Rb6 Rc4 Qxa4 Qd8 Qb5
>>00:01:13.8	-0.78	12	10653846	Qc7 Rc8 Qd7 Qc4 Qe6 Qc2 Ra1 Kh7 Rf1 Rd8 Qa2 Rd2
>>00:02:14.8	-1.12	13	20944411	Qc7 Rc8 Qd7 Qc4 Qe6 Qc2 Kh2 Rg8 Ra1 Qe4 Rxa4 Qxh4+
>>Kg1 Qd4+ Kh2
>>00:02:26.1	-0.96	13	23042779	Rd7 Re8 Qc5 Qb3 Qa7 Qg3 Rd1 Qg4 Rd7 Rc8 Qxa4 Rc1+
>>Kf2 Qxh4+ g3
>>00:06:54.1	-1.08	14	70721821	Rd7 Re8 Qc5 Qb3 Qa7 Rg8 Rb7 Qxb2 Qxa4 Qd4+ Kf1 Rc8
>>Qb3 Rc1+ Ke2 Qe4+ Kd2 Qxb7
>>00:13:03.1	-0.22	14	137554968	b5 Qb3 Rd8+ Rxd8 Qxd8+ Kh7 Qe8 Qe3+ Kh1 Qc1+ Kh2
>>Qf4+ Kg1 Qxf5 h5 Qb1+ Kh2 Qxb2
>>00:15:28.8	-0.22	15	163519870	b5 Qb3 Rd8+ Rxd8 Qxd8+ Kh7 Qe8 Qe3+ Kh1 Qc1+ Kh2
>>Qf4+ Kg1 Qxf5 h5 Qb1+ Kh2 Qxb2
>>00:22:50.6	-0.22	16	243131255	b5 Qb3 Rd8+ Rxd8 Qxd8+ Kh7 Qe8 Qe3+ Kh1 Qc1+ Kh2
>>Qf4+ Kg1 Qxf5 h5 Qb1+ Kh2 Qxb2
>>
>>Analysis by Chess Tiger 13.0:
>>
>>00:00:00.7	-0.34	7	67429		Rd7 Re8 Qc5 Qb3 Qc3 Qxc3 bxc3 Rc8
>>00:00:01.4	-0.34	8	169901		Rd7 Re8 Qc5 Qb3 Qc3 Qxc3 bxc3 Rc8 Ra7 Rxc3 Rxa4
>>00:00:02.9	-0.60	9	500577		Rd7 Re8 Qc5 Qb3 Ra7 Qxb2 Rxa4 Qb1+ Kh2 Qxf5
>>00:00:09.1	-0.60	10	1652701		Rd7 Re8 Qc5 Qb3 Ra7 Qxb2 Rxa4 Qb1+ Kh2 Qxf5 Ra7
>>00:00:17.4	-0.82	11	3051909		Rd7 Re8 Qc5 Qb3 Ra7 Qxb2 Rxa4 Qb1+ Kh2 Qxf5 b5 Rc8
>>00:00:41.0	-0.76	11	7357485		Qc7 Rc8 Qd7 Qf8 Rd6 Kh7 Rb6 Rc4 Qxa4 Qd8 Qb5
>>00:01:00.6	-0.78	12	10653846	Qc7 Rc8 Qd7 Qc4 Qe6 Qc2 Ra1 Kh7 Rf1 Rd8 Qa2 Rd2
>>00:01:59.4	-1.12	13	20944411	Qc7 Rc8 Qd7 Qc4 Qe6 Qc2 Kh2 Rg8 Ra1 Qe4 Rxa4 Qxh4+
>>Kg1 Qd4+ Kh2
>>00:02:11.8	-0.96	13	23042779	Rd7 Re8 Qc5 Qb3 Qa7 Qg3 Rd1 Qg4 Rd7 Rc8 Qxa4 Rc1+
>>Kf2 Qxh4+ g3
>>00:06:39.3	-1.08	14	70721821	Rd7 Re8 Qc5 Qb3 Qa7 Rg8 Rb7 Qxb2 Qxa4 Qd4+ Kf1 Rc8
>>Qb3 Rc1+ Ke2 Qe4+ Kd2 Qxb7
>>00:12:50.1	-0.22	14	137554968	b5 Qb3 Rd8+ Rxd8 Qxd8+ Kh7 Qe8 Qe3+ Kh1 Qc1+ Kh2
>>Qf4+ Kg1 Qxf5 h5 Qb1+ Kh2 Qxb2
>>00:15:15.4	-0.22	15	163519870	b5 Qb3 Rd8+ Rxd8 Qxd8+ Kh7 Qe8 Qe3+ Kh1 Qc1+ Kh2
>>Qf4+ Kg1 Qxf5 h5 Qb1+ Kh2 Qxb2
>>00:22:42.8	-0.22	16	243131255	b5 Qb3 Rd8+ Rxd8 Qxd8+ Kh7 Qe8 Qe3+ Kh1 Qc1+ Kh2
>>Qf4+ Kg1 Qxf5 h5 Qb1+ Kh2 Qxb2
>>
>>
>>Analysis by Nimzo 8 after 25 min.:
>>
>>1. µ (-0.83): 36.b5 Qb3 37.Rd8+ Rxd8 38.Qxd8+ Kh7 39.Qe8 Qe3+ 40.Kh2 Qf4+ 41.Kg1
>>2. µ (-0.86): 36.h5 Re8 37.Qd7 Qf8 38.Rc1 e4 39.Qxa4 e3 40.Re1 Re5 41.Qa7
>>3. µ (-1.07): 36.Rd3 Qc8 37.b5 Qxf5 38.Rd8+ Rxd8 39.Qxd8+ Kh7 40.Qd2 Qb1+ 41.Kf2
>>4. µ (-1.08): 36.Rd7 Re8 37.Qd6 Qc4 38.Rd8 Qc1+ 39.Kh2 Qf4+ 40.Kg1 Qe3+ 41.Kh2
>>5. µ (-1.09): 36.Rd2 Re8 37.Qd7 Ra8 38.Qe7 Qc8 39.Rd7 Qc1+ 40.Kh2 Qf4+ 41.Kg1
>>6. µ (-1.09): 36.Rd6 Qc8 37.Rd7 Qc1+ 38.Kh2 Qf4+
>>7. µ (-1.16): 36.Kh2 Qc4 37.Rd8+ Rxd8 38.Qxd8+ Kh7 39.Kh3 Qf4 40.Qd7 Qxb4 41.Qe8
>>8. µ (-1.24): 36.Kh1 Qc4 37.Rd8+ Rxd8 38.Qxd8+ Kh7 39.Qe8 Qxh4+ 40.Kg1 Qd4+
>>41.Kh1
>>9. µ (-1.24): 36.Kf2 Qa2 37.Rd2 Qb1 38.Rd8+ Rxd8 39.Qxd8+ Kh7 40.Qd2 Qxf5+
>>41.Kg1
>>10. µ (-1.35): 36.Qd6 Kh7 37.Rd5 Qc8 38.Kh2 Ra8 39.Ra5 Rxa5 40.bxa5 Qxf5 41.a6
>>11. µ (-1.35): 36.Qc7 Qc8 37.Qe7 Qxf5
>>12. -+ (-1.53): 36.g4 Qc4 37.Rd8+ Rxd8 38.Qxd8+ Kh7 39.Qd1 Qxb4 40.Qe2 h5
>>41.gxh5
>>13. -+ (-1.96): 36.Qe6 Rxb4 37.Qe7 Rb8 38.Rd2 Qc8 39.Kh2 Kh7 40.Qd6 Rb3 41.g4
>>14. -+ (-1.96): 36.Qa7 Rxb4 37.Qe7 Rb8
>
>Loading...
>
>Engine version   : Rebel Century 2.01
>Hash table size  :  40 Mb
>
>1r4qk/4Q1p1/5p1p/4pP2/pP5P/8/1P4P1/3R2K1 w - -
>
>00:00  03.00  -0.21  1.Rd7 Re8 2.Qd6
>00:01  04.00  -0.40  1.Rd7 Re8 2.Qd6 Qc4
>00:02  05.00  -0.36  1.Rd7 Re8 2.Qc5 Qb3 3.Qc3
>00:02  06.00  -0.52  1.Rd7 Re8 2.Qc5 Qb3 3.Qc3 e4
>00:03  07.00  -0.54  1.Rd7 Re8 2.Qc5 Rc8 3.Qa7 Rc4 4.Qxa4 Rxh4
>00:04  08.00  -0.57  1.Rd7 Re8 2.Qc5 Qb3 3.Qc3 Rb8 4.Rd3 Qxc3 5.bxc3
>00:07  09.00  -0.57  1.Rd7 Re8 2.Qc5 Qa2 3.Qc1 e4 4.g3 e3 5.Qc2
>00:13  10.00  -0.62  1.Rd7 Re8 2.Qc5 Qa2 3.Qa7 Rg8 4.Qf2 Qc4 5.g3 Qxb4
>00:24  11.00  -0.74  1.Rd7 Re8 2.Qc5 Qb3 3.Qc3 Rb8 4.Qxb3 axb3 5.b5 Rxb5 6.Kf2
>Rc5 7.Ke3
>01:12  11.16  -0.72  1.h5 Qc8 2.b5 Qc2 3.Rd8+ Rxd8 4.Qxd8 Kh7 5.Qe8 Qc1 6.Kh2
>Qf4+ 7.Kg1+ Qd4 8.Kh2 Qh4+ 9.Kg1 Qe1+ 10.Kh2 Qh4 11.Kg1 Qe1+ 12.Kh2
>01:46  12.00  -0.54  1.h5 Rc8 2.Qd7 Rc2 3.Qxa4 Rxb2 4.Qa3 Ra2 5.Qd3 Qf7 6.Qd8+
>Qg8
>03:03  13.00  -0.70  1.h5 Qc8 2.b5 Kh7 3.Rd7 Qc1+ 4.Kh2 Qf4+ 5.Kg1 Qe3 6.Kh2 Qg5
>7.Qf7 e4 8.Re7
>07:14  14.00  -0.61  1.h5 Qb3 2.Rd8+ Rxd8 3.Qxd8+ Kh7 4.Qe8 Qxb4+ 5.Qg6+ Kg8
>6.Qe8 Qf8 7.Qxa4 Qc8 8.Qa2+ Kh7 9.Qb1 Qc5+ 10.Kh2 Qb4 11.g3
>
>Maybe Century 3 will do a better job.
>
>Ed

Luckily it does.

Ed

00:02:00 13.00  -0.59   1.h5 Qb3 2.Rd8 Rxd8 3.Qxd8 Kh7 4.Qe8
                       Qxb4 5.Qg6 Kg8 6.Qe8 Qf8 7.Qxa4
                       Qc8 8.Qa2 Kh7 9.Qb1 Qc5 10.Kh1 Qb4
                       11.g3  (88)

00:03:54 14.00  -0.61   1.h5 Qb3 2.Rd8 Rxd8 3.Qxd8 Kh7 4.Qe8
                       Qxb4 5.Qg6 Kg8 6.Qe8 Qf8 7.Qxa4
                       Qc8 8.Qa2 Kh7 9.Qb1 Qc5 10.Kh2 Qc4
                       11.Kg3  (202)

00:10:26 15.00  -0.61   1.h5 Qb3 2.Rd8 Rxd8 3.Qxd8 Kh7 4.Qe8
                       Qxb4 5.Qg6 Kg8 6.Qe8 Qf8 7.Qxa4
                       Qf7 8.Qa8 Qf8 9.Qc6 Qb4 10.Qe8 Qf8
                       11.Qxf8 Kxf8 12.Kh2 Ke8  (514)

00:12:57 15.02  -0.61   1.b5
00:20:37 15.02  -0.15   1.b5 Re8 2.Qb4 Rc8 3.Qe7 Rb8 4.Rd7
                       Re8 5.Qb4 Qa2 6.Kh2 Qb1 7.Qg4 Rg8
                       8.Rc7 e4 9.Re7  (777)



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